By using Mawhin's coincidence degree theory, this paper establishes some sufficient conditions on the existence of four positive periodic solutions for a food-limited two-species ratio-dependent predator-prey patch system with delay and harvesting. Some novel techniques are employed to obtain the appropriate a priori estimates. An example is given to illustrate our results.
Submitted April 18, 2012. Published August 29, 2012.
Math Subject Classifications: 34C25, 92D25.
Key Words: Coincidence degree; periodic solution; food-limited supply; predator-prey patch system; harvesting rate.
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|Hui Fang |
Department of Mathematics
Kunming University of Science and Technology
Kunming, Yunnan 650500, China
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